37874000 has 80 divisors (see below), whose sum is σ = 94882320. Its totient is φ = 14604800.

The previous prime is 37873999. The next prime is 37874003. The reversal of 37874000 is 47873.

It can be written as a sum of positive squares in 8 ways, for example, as 17007376 + 20866624 = 4124^2 + 4568^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37874003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57674 + ... + 58326.

It is an arithmetic number, because the mean of its divisors is an integer number (1186029).

Almost surely, 2^37874000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47441160).

37874000 is an abundant number, since it is smaller than the sum of its proper divisors (57008320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

37874000 is a wasteful number, since it uses less digits than its factorization.

37874000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 37874000 is about 6154.1855675629. The cubic root of 37874000 is about 335.8255424650.

The spelling of 37874000 in words is "thirty-seven million, eight hundred seventy-four thousand".